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Super rpp semigroups

Author

Listed:
  • Xiaojiang Guo

    (Jiangxi Normal University)

  • Yuqi Guo

    (Southwest University)

  • K. P. Shum

    (The University of Hong Kong)

Abstract

We study a class of special strongly rpp semigroups, namely, the class of super rpp semigroups. These super rpp semigroups are generalizations of both superabundant semigroups and Clifford semigroups within the class of rpp semigroups. In particular, we prove that a super rpp semigroup is a semilattice of D (l)-simple strongly rpp semigroups. Our result not only generalizes a well-known theorem of Clifford in the class of completely regular semigroups but also strengthens some structure theorems obtained by Ren-Shum for superabundant semigroups which are orthodox. Some special super rpp semigroups are considered and discussed.

Suggested Citation

  • Xiaojiang Guo & Yuqi Guo & K. P. Shum, 2010. "Super rpp semigroups," Indian Journal of Pure and Applied Mathematics, Springer, vol. 41(3), pages 505-533, June.
    • Handle: RePEc:spr:indpam:v:41:y:2010:i:3:d:10.1007_s13226-010-0030-0
    DOI: 10.1007/s13226-010-0030-0
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